## Spring 2008

**Lecturer: Eduardo Mucciolo** (office in MAP 416, ext 3-1882, e-address: mylastname at physics dot ucf dot edu

**Schedule and Location:** Mondays and Wednesdays, 01:30 – 2:45 pm, in PL 0101 (the Physiscs trailer behind the Classroom Building I). Office hours: Mondays and Tuesdays, 11:00 am – 12:00 pm, in MAP 416.

**Credit hours:** 3 units.

**Prerequisites: **Quantum Mechanics I (PHY 5606).

**Content:**

1)

*Spin*: Combination with orbital degrees of freedom. Density matrices.

2) *Identical Particles and Quantum Statistics*: *N*-particle systems. Fermions and bosons. Second quantization.

3) *Addition of Angular Momentum*: Simplified version. General version. Clebsch-Gordan coefficients. Irreducible tensor operators. Degeneracies.

4) *Variational and WKB Methods*: General formulations. Examples and applications.

6) *Time-Independent Perturbation Theory*: General formalism. Examples and applications. Degenerate case.

7) *Time-Dependent Perturbation Theory*: First-order case. Higher-order cases. Interaction of atoms with electromagnetic radiation.

8) *Scattering Theory*: General formalism (Lippmann-Schwinger equation). Born approximation. Partial wave expansion. Optical theorem. Two-particle scattering.

9) *Relativistic Quantum Mechanics*: Free-particle Dirac equation. Electron spin. Spin-orbit coupling. Interaction with electromagnetic fields.

**Textbook:***Principles of Quantum Mechanics*, 2nd edition, by R. Shankar (Plenum Press, 1994).

Other useful books for this course are: *Modern Quantum Mechanics*, 2nd edition, by J. J. Sakurai (Addison-Wesley, 1994); *Quantum Mechanics: Non-Relativistic Theory*, 3rd edition, by E. M. Lifshitz and L. D. Landau (Butterworth-Heinemann, 1981).

**Grading:** Final grades will be based on homework (1/3), a mid-term exam (1/3), and a final exam (1/3). Homework sets will be handed out every two weeks, approximately. Grading will be done over a scale from 0 to 100. Final letter grades will be given according to the following grid: A (100-95), A- (94-90), B+(89-85), B (84-80), B- (79-76), C+ (75-70), C (69-66), C- (65-61), D+ (60-57), D (56-53), D- (52-50), F (49-0). Homework sets handed in after the due date will be devaluated in 10% for every late day. The days for the mid-term exam is February 25 (Monday) during regular lecture hours. The final exam has been schedule for April 28 (Monday), from 1:00-3:50 pm. All exams will take place in PL 0101.

*CALENDAR*

**PROBLEM SETS** (pdf files)

#1 (due Friday, January 18)

#2 (due Wednesday, February 6)

#3 (due Wednesday, February 20)

#4 (due Friday, March 7)

#5 (due Friday, March 28)

#6 (due Friday, April 11)

#7 (due Friday, April 25)

*GRADES*

Eduardo Mucciolo 2008-04-15